Homoclinic Solutions for Partial Difference Equations with Mixed Nonlinearities

被引：9
|
作者：
Mei, Peng [1 ,2 ]
Zhou, Zhan [1 ,2 ]
机构：
[1] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Peoples R China
[2] Guangzhou Univ, Guangzhou Ctr Appl Math, Guangzhou 510006, Peoples R China
来源：
JOURNAL OF GEOMETRIC ANALYSIS | 2023年 / 33卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Homoclinic solution; Partial difference equation; Discrete nonlinear Schrodinger equation; Critical point theory; SCHRODINGER-EQUATION; GAP SOLITONS; DISCRETE; BREATHERS; STABILITY; EXISTENCE; OSCILLATION;
D O I：
10.1007/s12220-022-01166-w
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we consider a class of partial difference equations with sign-changing mixed nonlinearities and unbounded potentials. Some sufficient conditions for the existence and multiplicity of homoclinic solutions are obtained by using critical point theory. Even for ordinary difference equations, our results significantly improve some existing ones.
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页数：18
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